Geometric Algebra for Computer Science

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  • Author : Leo Dorst
  • Publisher : Elsevier
  • Pages : 664 pages
  • ISBN : 0080553109
  • Rating : /5 from reviews
CLICK HERE TO GET THIS BOOK >>>Geometric Algebra for Computer Science

Download or Read online Geometric Algebra for Computer Science full in PDF, ePub and kindle. this book written by Leo Dorst and published by Elsevier which was released on 26 July 2010 with total page 664 pages. We cannot guarantee that Geometric Algebra for Computer Science book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. Until recently, almost all of the interactions between objects in virtual 3D worlds have been based on calculations performed using linear algebra. Linear algebra relies heavily on coordinates, however, which can make many geometric programming tasks very specific and complex-often a lot of effort is required to bring about even modest performance enhancements. Although linear algebra is an efficient way to specify low-level computations, it is not a suitable high-level language for geometric programming. Geometric Algebra for Computer Science presents a compelling alternative to the limitations of linear algebra. Geometric algebra, or GA, is a compact, time-effective, and performance-enhancing way to represent the geometry of 3D objects in computer programs. In this book you will find an introduction to GA that will give you a strong grasp of its relationship to linear algebra and its significance for your work. You will learn how to use GA to represent objects and perform geometric operations on them. And you will begin mastering proven techniques for making GA an integral part of your applications in a way that simplifies your code without slowing it down. * The first book on Geometric Algebra for programmers in computer graphics and entertainment computing * Written by leaders in the field providing essential information on this new technique for 3D graphics * This full colour book includes a website with GAViewer, a program to experiment with GA

Geometric Algebra for Computer Science

Geometric Algebra for Computer Science
  • Author : Leo Dorst,Daniel Fontijne,Stephen Mann
  • Publisher : Elsevier
  • Release : 26 July 2010
GET THIS BOOK Geometric Algebra for Computer Science

Until recently, almost all of the interactions between objects in virtual 3D worlds have been based on calculations performed using linear algebra. Linear algebra relies heavily on coordinates, however, which can make many geometric programming tasks very specific and complex-often a lot of effort is required to bring about even modest performance enhancements. Although linear algebra is an efficient way to specify low-level computations, it is not a suitable high-level language for geometric programming. Geometric Algebra for Computer Science presents

Applications of Geometric Algebra in Computer Science and Engineering

Applications of Geometric Algebra in Computer Science and Engineering
  • Author : Leo Dorst,Chris Doran,Joan Lasenby
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOK Applications of Geometric Algebra in Computer Science and Engineering

Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics. The articles in this volume, written by experts in various fields, reflect an interdisciplinary approach to the subject, and highlight a range of techniques and applications. Relevant ideas are introduced in a self-contained manner and only a knowledge of linear algebra and calculus is assumed. Features and Topics: * The mathematical foundations of geometric algebra are explored * Applications in

Geometric Algebra for Computer Science Revised Edition

Geometric Algebra for Computer Science  Revised Edition
  • Author : Leo Dorst,Daniel Fontijne,Stephen Mann
  • Publisher : Morgan Kaufmann
  • Release : 24 February 2009
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Geometric Algebra for Computer Science (Revised Edition) presents a compelling alternative to the limitations of linear algebra. Geometric algebra (GA) is a compact, time-effective, and performance-enhancing way to represent the geometry of 3D objects in computer programs. This book explains GA as a natural extension of linear algebra and conveys its significance for 3D programming of geometry in graphics, vision, and robotics. It systematically explores the concepts and techniques that are key to representing elementary objects and geometric operators using

Geometric Algebra for Computer Graphics

Geometric Algebra for Computer Graphics
  • Author : John Vince
  • Publisher : Springer Science & Business Media
  • Release : 21 April 2008
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Geometric algebra (a Clifford Algebra) has been applied to different branches of physics for a long time but is now being adopted by the computer graphics community and is providing exciting new ways of solving 3D geometric problems. The author tackles this complex subject with inimitable style, and provides an accessible and very readable introduction. The book is filled with lots of clear examples and is very well illustrated. Introductory chapters look at algebraic axioms, vector algebra and geometric conventions

Geometric Algebra Computing

Geometric Algebra Computing
  • Author : Eduardo Bayro-Corrochano,Gerik Scheuermann
  • Publisher : Springer Science & Business Media
  • Release : 19 May 2010
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This useful text offers new insights and solutions for the development of theorems, algorithms and advanced methods for real-time applications across a range of disciplines. Its accessible style is enhanced by examples, figures and experimental analysis.

Foundations of Geometric Algebra Computing

Foundations of Geometric Algebra Computing
  • Author : Dietmar Hildenbrand
  • Publisher : Springer Science & Business Media
  • Release : 31 December 2012
GET THIS BOOK Foundations of Geometric Algebra Computing

The author defines “Geometric Algebra Computing” as the geometrically intuitive development of algorithms using geometric algebra with a focus on their efficient implementation, and the goal of this book is to lay the foundations for the widespread use of geometric algebra as a powerful, intuitive mathematical language for engineering applications in academia and industry. The related technology is driven by the invention of conformal geometric algebra as a 5D extension of the 4D projective geometric algebra and by the recent

Computer Algebra and Geometric Algebra with Applications

Computer Algebra and Geometric Algebra with Applications
  • Author : Hongbo Li,Peter J. Olver,Gerald Sommer
  • Publisher : Springer
  • Release : 20 June 2005
GET THIS BOOK Computer Algebra and Geometric Algebra with Applications

MathematicsMechanization consistsoftheory,softwareandapplicationofc- puterized mathematical activities such as computing, reasoning and discovering. ItsuniquefeaturecanbesuccinctlydescribedasAAA(Algebraization,Algori- mization, Application). The name “Mathematics Mechanization” has its origin in the work of Hao Wang (1960s), one of the pioneers in using computers to do research in mathematics, particularly in automated theorem proving. Since the 1970s, this research direction has been actively pursued and extensively dev- oped by Prof. Wen-tsun Wu and his followers. It di?ers from the closely related disciplines like Computer Mathematics,

Geometric Algebra Applications Vol II

Geometric Algebra Applications Vol  II
  • Author : Eduardo Bayro-Corrochano
  • Publisher : Springer Nature
  • Release : 19 June 2020
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This book presents a unified mathematical treatment of diverse problems in the general domain of robotics and associated fields using Clifford or geometric alge- bra. By addressing a wide spectrum of problems in a common language, it offers both fresh insights and new solutions that are useful to scientists and engineers working in areas related with robotics. It introduces non-specialists to Clifford and geometric algebra, and provides ex- amples to help readers learn how to compute using geometric entities and

Geometric Algebra with Applications in Engineering

Geometric Algebra with Applications in Engineering
  • Author : Christian Perwass
  • Publisher : Springer Science & Business Media
  • Release : 11 February 2009
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The application of geometric algebra to the engineering sciences is a young, active subject of research. The promise of this field is that the mathematical structure of geometric algebra together with its descriptive power will result in intuitive and more robust algorithms. This book examines all aspects essential for a successful application of geometric algebra: the theoretical foundations, the representation of geometric constraints, and the numerical estimation from uncertain data. Formally, the book consists of two parts: theoretical foundations and

Guide to Geometric Algebra in Practice

Guide to Geometric Algebra in Practice
  • Author : Leo Dorst,Joan Lasenby
  • Publisher : Springer Science & Business Media
  • Release : 28 August 2011
GET THIS BOOK Guide to Geometric Algebra in Practice

This highly practical Guide to Geometric Algebra in Practice reviews algebraic techniques for geometrical problems in computer science and engineering, and the relationships between them. The topics covered range from powerful new theoretical developments, to successful applications, and the development of new software and hardware tools. Topics and features: provides hands-on review exercises throughout the book, together with helpful chapter summaries; presents a concise introductory tutorial to conformal geometric algebra (CGA) in the appendices; examines the application of CGA for

Computer Algebra and Geometric Algebra with Applications

Computer Algebra and Geometric Algebra with Applications
  • Author : Hongbo Li
  • Publisher : Springer Science & Business Media
  • Release : 21 June 2005
GET THIS BOOK Computer Algebra and Geometric Algebra with Applications

This book constitutes the thoroughly refereed joint post-proceedings of the 6th International Workshop on Mathematics Mechanization, IWMM 2004, held in Shanghai, China in May 2004 and the International Workshop on Geometric Invariance and Applications in Engineering, GIAE 2004, held in Xian, China in May 2004. The 30 revised full papers presented were rigorously reviewed and selected from 65 presentations given at the two workshops. The papers are devoted to topics such as applications of computer algebra in celestial and engineering multibody systems, differential equations, computer vision,

Geometric Algebra for Physicists

Geometric Algebra for Physicists
  • Author : Chris Doran,Anthony Lasenby
  • Publisher : Cambridge University Press
  • Release : 22 November 2007
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Geometric algebra is a powerful mathematical language with applications across a range of subjects in physics and engineering. This book is a complete guide to the current state of the subject with early chapters providing a self-contained introduction to geometric algebra. Topics covered include new techniques for handling rotations in arbitrary dimensions, and the links between rotations, bivectors and the structure of the Lie groups. Following chapters extend the concept of a complex analytic function theory to arbitrary dimensions, with

Understanding Geometric Algebra

Understanding Geometric Algebra
  • Author : Kenichi Kanatani
  • Publisher : CRC Press
  • Release : 06 April 2015
GET THIS BOOK Understanding Geometric Algebra

Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics introduces geometric algebra with an emphasis on the background mathematics of Hamilton, Grassmann, and Clifford. It shows how to describe and compute geometry for 3D modeling applications in computer graphics and computer vision.Unlike similar texts

Geometric Algebra with Applications in Science and Engineering

Geometric Algebra with Applications in Science and Engineering
  • Author : Eduardo Bayro Corrochano,Garret Sobczyk
  • Publisher : Springer Science & Business Media
  • Release : 28 June 2011
GET THIS BOOK Geometric Algebra with Applications in Science and Engineering

The goal of this book is to present a unified mathematical treatment of diverse problems in mathematics, physics, computer science, and engineer ing using geometric algebra. Geometric algebra was invented by William Kingdon Clifford in 1878 as a unification and generalization of the works of Grassmann and Hamilton, which came more than a quarter of a century before. Whereas the algebras of Clifford and Grassmann are well known in advanced mathematics and physics, they have never made an impact in elementary